%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ128+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:33:00 PM UTC 2026
% Result : Theorem 1.65s 1.16s
% Output : CNFRefutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 2
% Syntax : Number of formulae : 80 ( 39 unt; 0 def)
% Number of atoms : 286 ( 75 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 352 ( 146 ~; 135 |; 71 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-1 aty)
% Number of variables : 98 ( 0 sgn 71 !; 27 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0,X1,X2,X3,X4] :
( ~ ? [X5] :
( 'Thersandros' = X5
& patricide(X5) )
& 'Oedipus' = X4
& patricide(X4)
& 'Polyneikes' = X3
& relation(X3,of,'Thersandros')
& parent(X3)
& 'Oedipus' = X2
& relation(X2,of,'Polyneikes')
& parent(X2)
& 'Iokaste' = X1
& relation(X1,of,'Polyneikes')
& parent(X1)
& 'Iokaste' = X0
& relation(X0,of,'Oedipus')
& parent(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).
fof(f2,conjecture,
? [X0,X1,X2,X3] :
( 'Iokaste' = X0
& relation(X0,of,X1)
& X1 = X2
& relation(X2,of,X3)
& ~ ? [X4] :
( X3 = X4
& patricide(X4) )
& $true
& parent(X2)
& patricide(X1)
& parent(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).
fof(f3,negated_conjecture,
~ ? [X0,X1,X2,X3] :
( 'Iokaste' = X0
& relation(X0,of,X1)
& X1 = X2
& relation(X2,of,X3)
& ~ ? [X4] :
( X3 = X4
& patricide(X4) )
& $true
& parent(X2)
& patricide(X1)
& parent(X0) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
~ ? [X0,X1,X2,X3] :
( 'Iokaste' = X0
& relation(X0,of,X1)
& X1 = X2
& relation(X2,of,X3)
& ~ ? [X4] :
( X3 = X4
& patricide(X4) )
& parent(X2)
& patricide(X1)
& parent(X0) ),
inference(true_and_false_elimination,[],[f3]) ).
fof(f5,plain,
? [X0,X1,X2,X3,X4] :
( ! [X5] :
( 'Thersandros' != X5
| ~ patricide(X5) )
& 'Oedipus' = X4
& patricide(X4)
& 'Polyneikes' = X3
& relation(X3,of,'Thersandros')
& parent(X3)
& 'Oedipus' = X2
& relation(X2,of,'Polyneikes')
& parent(X2)
& 'Iokaste' = X1
& relation(X1,of,'Polyneikes')
& parent(X1)
& 'Iokaste' = X0
& relation(X0,of,'Oedipus')
& parent(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f6,plain,
! [X0,X1,X2,X3] :
( 'Iokaste' != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| ? [X4] :
( X3 = X4
& patricide(X4) )
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f7,plain,
( ! [X5] :
( 'Thersandros' != X5
| ~ patricide(X5) )
& 'Oedipus' = sK4
& patricide(sK4)
& 'Polyneikes' = sK3
& relation(sK3,of,'Thersandros')
& parent(sK3)
& 'Oedipus' = sK2
& relation(sK2,of,'Polyneikes')
& parent(sK2)
& 'Iokaste' = sK1
& relation(sK1,of,'Polyneikes')
& parent(sK1)
& 'Iokaste' = sK0
& relation(sK0,of,'Oedipus')
& parent(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f5]) ).
fof(f8,plain,
! [X0,X1,X2,X3] :
( 'Iokaste' != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| ( sK5(X3) = X3
& patricide(sK5(X3)) )
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X4,sK5(X3))],[f6]) ).
fof(f9,plain,
! [X5] :
( 'Thersandros' != X5
| ~ patricide(X5) ),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
'Oedipus' = sK4,
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
patricide(sK4),
inference(cnf_transformation,[],[f7]) ).
fof(f12,plain,
'Polyneikes' = sK3,
inference(cnf_transformation,[],[f7]) ).
fof(f13,plain,
relation(sK3,of,'Thersandros'),
inference(cnf_transformation,[],[f7]) ).
fof(f14,plain,
parent(sK3),
inference(cnf_transformation,[],[f7]) ).
fof(f15,plain,
'Oedipus' = sK2,
inference(cnf_transformation,[],[f7]) ).
fof(f16,plain,
relation(sK2,of,'Polyneikes'),
inference(cnf_transformation,[],[f7]) ).
fof(f17,plain,
parent(sK2),
inference(cnf_transformation,[],[f7]) ).
fof(f18,plain,
'Iokaste' = sK1,
inference(cnf_transformation,[],[f7]) ).
fof(f19,plain,
relation(sK1,of,'Polyneikes'),
inference(cnf_transformation,[],[f7]) ).
fof(f21,plain,
'Iokaste' = sK0,
inference(cnf_transformation,[],[f7]) ).
fof(f22,plain,
relation(sK0,of,'Oedipus'),
inference(cnf_transformation,[],[f7]) ).
fof(f23,plain,
parent(sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f24,plain,
! [X2,X3,X0,X1] :
( 'Iokaste' != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| sK5(X3) = X3
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f25,plain,
! [X2,X3,X0,X1] :
( 'Iokaste' != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| patricide(sK5(X3))
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
relation(sK0,of,sK2),
inference(definition_unfolding,[],[f22,f15]) ).
fof(f27,plain,
relation(sK1,of,sK3),
inference(definition_unfolding,[],[f19,f12]) ).
fof(f28,plain,
sK0 = sK1,
inference(definition_unfolding,[],[f18,f21]) ).
fof(f29,plain,
relation(sK2,of,sK3),
inference(definition_unfolding,[],[f16,f12]) ).
fof(f30,plain,
sK2 = sK4,
inference(definition_unfolding,[],[f10,f15]) ).
fof(f31,plain,
! [X2,X3,X0,X1] :
( sK0 != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| patricide(sK5(X3))
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(definition_unfolding,[],[f25,f21]) ).
fof(f32,plain,
! [X2,X3,X0,X1] :
( sK0 != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| sK5(X3) = X3
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(definition_unfolding,[],[f24,f21]) ).
fof(f33,plain,
~ patricide('Thersandros'),
inference(equality_resolution,[],[f9]) ).
fof(f34,plain,
! [X2,X3,X0] :
( sK0 != X0
| ~ relation(X0,of,X2)
| ~ relation(X2,of,X3)
| patricide(sK5(X3))
| ~ parent(X2)
| ~ patricide(X2)
| ~ parent(X0) ),
inference(equality_resolution,[],[f31]) ).
fof(f35,plain,
! [X2,X3] :
( ~ relation(sK0,of,X2)
| ~ relation(X2,of,X3)
| patricide(sK5(X3))
| ~ parent(X2)
| ~ patricide(X2)
| ~ parent(sK0) ),
inference(equality_resolution,[],[f34]) ).
fof(f36,plain,
! [X2,X3,X0] :
( sK0 != X0
| ~ relation(X0,of,X2)
| ~ relation(X2,of,X3)
| sK5(X3) = X3
| ~ parent(X2)
| ~ patricide(X2)
| ~ parent(X0) ),
inference(equality_resolution,[],[f32]) ).
fof(f37,plain,
! [X2,X3] :
( ~ relation(sK0,of,X2)
| ~ relation(X2,of,X3)
| sK5(X3) = X3
| ~ parent(X2)
| ~ patricide(X2)
| ~ parent(sK0) ),
inference(equality_resolution,[],[f36]) ).
tcf(c_49,plain,
parent(sK0),
inference(cnf_transformation,[],[f23]) ).
tcf(c_50,plain,
relation(sK0,of,sK2),
inference(cnf_transformation,[],[f26]) ).
tcf(c_52,plain,
relation(sK1,of,sK3),
inference(cnf_transformation,[],[f27]) ).
tcf(c_53,plain,
sK0 = sK1,
inference(cnf_transformation,[],[f28]) ).
tcf(c_54,plain,
parent(sK2),
inference(cnf_transformation,[],[f17]) ).
tcf(c_55,plain,
relation(sK2,of,sK3),
inference(cnf_transformation,[],[f29]) ).
tcf(c_56,plain,
parent(sK3),
inference(cnf_transformation,[],[f14]) ).
tcf(c_57,plain,
relation(sK3,of,'Thersandros'),
inference(cnf_transformation,[],[f13]) ).
tcf(c_58,plain,
patricide(sK4),
inference(cnf_transformation,[],[f11]) ).
tcf(c_59,plain,
sK2 = sK4,
inference(cnf_transformation,[],[f30]) ).
tcf(c_60,plain,
~ patricide('Thersandros'),
inference(cnf_transformation,[],[f33]) ).
tcf(c_61,negated_conjecture,
! [X0: $i,X1: $i] :
( patricide(sK5(X1))
| ~ parent(sK0)
| ~ patricide(X0)
| ~ parent(X0)
| ~ relation(sK0,of,X0)
| ~ relation(X0,of,X1) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_62,negated_conjecture,
! [X0: $i,X1: $i] :
( ( sK5(X1) = X1 )
| ~ parent(sK0)
| ~ patricide(X0)
| ~ parent(X0)
| ~ relation(sK0,of,X0)
| ~ relation(X0,of,X1) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( patricide(sK5(X1))
| ~ relation(X0,of,X1)
| ~ relation(sK0,of,X0)
| ~ parent(X0)
| ~ patricide(X0) ),
inference(global_subsumption_just,[status(thm)],[c_61,c_49,c_61]) ).
tcf(c_66,negated_conjecture,
! [X0: $i,X1: $i] :
( patricide(sK5(X1))
| ~ patricide(X0)
| ~ parent(X0)
| ~ relation(sK0,of,X0)
| ~ relation(X0,of,X1) ),
inference(renaming,[status(thm)],[c_65]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( ( sK5(X1) = X1 )
| ~ relation(X0,of,X1)
| ~ relation(sK0,of,X0)
| ~ parent(X0)
| ~ patricide(X0) ),
inference(global_subsumption_just,[status(thm)],[c_62,c_49,c_62]) ).
tcf(c_69,negated_conjecture,
! [X0: $i,X1: $i] :
( ( sK5(X1) = X1 )
| ~ patricide(X0)
| ~ parent(X0)
| ~ relation(sK0,of,X0)
| ~ relation(X0,of,X1) ),
inference(renaming,[status(thm)],[c_68]) ).
tcf(c_115,plain,
patricide(sK2),
inference(demodulation,[status(thm)],[c_58,c_59]) ).
tcf(c_117,plain,
relation(sK0,of,sK3),
inference(light_normalisation,[status(thm)],[c_52,c_53]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i] :
( ( sK5(X1) = X1 )
| ~ patricide(X0)
| ~ relation(sK0,of,X0)
| ~ relation(X0,of,X1)
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_69]) ).
tcf(c_170,plain,
! [X0: $i] :
( ( sK5(X0) = X0 )
| ~ patricide(sK2)
| ~ relation(sK0,of,sK2)
| ~ relation(sK2,of,X0) ),
inference(unflattening,[status(thm)],[c_169]) ).
tcf(c_172,plain,
! [X0: $i] :
( ( sK5(X0) = X0 )
| ~ relation(sK2,of,X0) ),
inference(global_subsumption_just,[status(thm)],[c_170,c_50,c_115,c_170]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i] :
( patricide(sK5(X1))
| ~ patricide(X0)
| ~ relation(sK0,of,X0)
| ~ relation(X0,of,X1)
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_66]) ).
tcf(c_182,plain,
! [X0: $i] :
( patricide(sK5(X0))
| ~ patricide(sK2)
| ~ relation(sK0,of,sK2)
| ~ relation(sK2,of,X0) ),
inference(unflattening,[status(thm)],[c_181]) ).
tcf(c_184,plain,
! [X0: $i] :
( patricide(sK5(X0))
| ~ relation(sK2,of,X0) ),
inference(global_subsumption_just,[status(thm)],[c_182,c_50,c_115,c_182]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i] :
( ( sK5(X1) = X1 )
| ~ patricide(X0)
| ~ relation(sK0,of,X0)
| ~ relation(X0,of,X1)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_69]) ).
tcf(c_194,plain,
! [X0: $i] :
( ( sK5(X0) = X0 )
| ~ patricide(sK3)
| ~ relation(sK0,of,sK3)
| ~ relation(sK3,of,X0) ),
inference(unflattening,[status(thm)],[c_193]) ).
tcf(c_196,plain,
! [X0: $i] :
( ( sK5(X0) = X0 )
| ~ patricide(sK3)
| ~ relation(sK3,of,X0) ),
inference(global_subsumption_just,[status(thm)],[c_194,c_117,c_194]) ).
tcf(c_208,plain,
! [X0: $i,X1: $i] :
( patricide(sK5(X1))
| ~ patricide(X0)
| ~ relation(sK0,of,X0)
| ~ relation(X0,of,X1)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_66]) ).
tcf(c_209,plain,
! [X0: $i] :
( patricide(sK5(X0))
| ~ patricide(sK3)
| ~ relation(sK0,of,sK3)
| ~ relation(sK3,of,X0) ),
inference(unflattening,[status(thm)],[c_208]) ).
tcf(c_211,plain,
! [X0: $i] :
( patricide(sK5(X0))
| ~ patricide(sK3)
| ~ relation(sK3,of,X0) ),
inference(global_subsumption_just,[status(thm)],[c_209,c_117,c_209]) ).
tcf(c_245,plain,
! [X0: $i] :
( patricide(sK5(X0))
| ~ patricide(sK3)
| ~ relation(sK3,of,X0) ),
inference(demodulation,[status(thm)],[c_211]) ).
tcf(c_246,plain,
! [X0: $i] :
( ( sK5(X0) = X0 )
| ~ patricide(sK3)
| ~ relation(sK3,of,X0) ),
inference(demodulation,[status(thm)],[c_196]) ).
tcf(c_247,plain,
! [X0: $i] :
( patricide(sK5(X0))
| ~ relation(sK2,of,X0) ),
inference(demodulation,[status(thm)],[c_184]) ).
tcf(c_248,plain,
! [X0: $i] :
( ( sK5(X0) = X0 )
| ~ relation(sK2,of,X0) ),
inference(demodulation,[status(thm)],[c_172]) ).
tcf(c_486,plain,
sK5(sK3) = sK3,
inference(superposition,[status(thm)],[c_55,c_248]) ).
tcf(c_487,plain,
patricide(sK5(sK3)),
inference(superposition,[status(thm)],[c_55,c_247]) ).
tcf(c_488,plain,
patricide(sK3),
inference(light_normalisation,[status(thm)],[c_487,c_486]) ).
tcf(c_489,plain,
! [X0: $i] :
( patricide(sK5(X0))
| ~ relation(sK3,of,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_245,c_488]) ).
tcf(c_490,plain,
! [X0: $i] :
( ( sK5(X0) = X0 )
| ~ relation(sK3,of,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_246,c_488]) ).
tcf(c_513,plain,
patricide(sK5('Thersandros')),
inference(superposition,[status(thm)],[c_57,c_489]) ).
tcf(c_518,plain,
sK5('Thersandros') = 'Thersandros',
inference(superposition,[status(thm)],[c_57,c_490]) ).
tcf(c_519,plain,
patricide('Thersandros'),
inference(light_normalisation,[status(thm)],[c_513,c_518]) ).
tcf(c_520,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_519,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ128+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 07:00:09 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 1.65/1.16 % SZS status Started for theBenchmark.p
% 1.65/1.16 % SZS status Theorem for theBenchmark.p
% 1.65/1.16
% 1.65/1.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.65/1.16
% 1.65/1.16 % ------ iProver source info
% 1.65/1.16
% 1.65/1.16 % git: date: 2026-07-19 20:42:38 +0200
% 1.65/1.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.65/1.16 % git: non_committed_changes: false
% 1.65/1.16
% 1.65/1.16 % ------ Parsing...
% 1.65/1.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.65/1.16
% 1.65/1.16 % ------ Preprocessing... sup_sim: 4 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e %
% 1.65/1.16
% 1.65/1.16 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.65/1.16
% 1.65/1.16 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.65/1.16 % ------ Proving...
% 1.65/1.16 % ------ Problem Properties
% 1.65/1.16
% 1.65/1.16 %
% 1.65/1.16 % clauses 16
% 1.65/1.16 % conjectures 0
% 1.65/1.16 % EPR 10
% 1.65/1.16 % Horn 16
% 1.65/1.16 % unary 8
% 1.65/1.16 % binary 2
% 1.65/1.16 % lits 30
% 1.65/1.16 % lits eq 5
% 1.65/1.16 % fd_pure 0
% 1.65/1.16 % fd_pseudo 0
% 1.65/1.16 % fd_cond 0
% 1.65/1.16 % fd_pseudo_cond 0
% 1.65/1.16 % AC symbols 0
% 1.65/1.16
% 1.65/1.16 % ------ Schedule dynamic 5 is on
% 1.65/1.16
% 1.65/1.16 % ------ no conjectures: strip conj schedule
% 1.65/1.16
% 1.65/1.16 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.65/1.16
% 1.65/1.16
% 1.65/1.16 % ------
% 1.65/1.16 % Current options:
% 1.65/1.16 % ------
% 1.65/1.16
% 1.65/1.16
% 1.65/1.16 %
% 1.65/1.16
% 1.65/1.16 % ------ Proving...
% 1.65/1.16 %
% 1.65/1.16
% 1.65/1.16 % SZS status Theorem for theBenchmark.p
% 1.65/1.16
% 1.65/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.65/1.16
% 1.65/1.16
%------------------------------------------------------------------------------